Call me old school, but I've always felt the term "coder" was a diminutive, while "programmer" (as used in the title) is more appropriate.
I think of a coder as someone mindlessly implementing logic that someone else has laid out before them... while a programmer is someone who comprehends the problem, develops an algorithm and implements it.
Of course, these days with so much work being about setting up a UI on whatever platform, there isn't as much algorithm development.
I fear that 'coder' is akin to 'lab geeks' for scientists etc. It suggests that all that's needed is code (or pipetting test tubes), rather than it being part of a larger engineering discipline.
In my experience, those terms are mostly used by people who don't understand what you're doing (or in this case, the domain was available)
"RemoteCoder" sounded shorter and sweeter as a name which is why I went with it. So it was really about marketing, no offence to developers/programmers (I'm one myself after all ;)
I think of a coder as someone mindlessly implementing logic that someone else has laid out before them... while a programmer is someone who comprehends the problem, develops an algorithm and implements it.
Of course, these days with so much work being about setting up a UI on whatever platform, there isn't as much algorithm development.